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infinite_series [2015/06/20 16:25] nikolaj |
infinite_series [2015/06/20 16:25] nikolaj |
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| | @#55CCEE: context | @#55CCEE: $M$ ... monoid, metric space | | | @#55CCEE: context | @#55CCEE: $M$ ... monoid, metric space | | ||
| | @#55CCEE: context | @#55CCEE: $ S \in \mathrm{InfSequence}(M)$ | | | @#55CCEE: context | @#55CCEE: $ S \in \mathrm{InfSequence}(M)$ | | ||
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| | @#FFBB00: definiendum | @#FFBB00: $\sum_{k=1}^\infty S_k\equiv \mathrm{lim}_{n\to\infty}\sum_{k=1}^n S_k$ | | | @#FFBB00: definiendum | @#FFBB00: $\sum_{k=1}^\infty S_k\equiv \mathrm{lim}_{n\to\infty}\sum_{k=1}^n S_k$ | | ||
